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LCM of 192, 546, 721, 590

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 192, 546, 721, 590 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 192, 546, 721, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 192,546,721,590

Given numbers are 192,546,721,590

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 192,546,721,590 is 530886720.

Find LCM of 192,546,721,590 with Prime Factorization


2 192, 546, 721, 590
3 96, 273, 721, 295
7 32, 91, 721, 295
32, 13, 103, 295

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 7 x 32 x 13 x 103 x 295 = 530886720

Therefore, the lowest common multiple of 192,546,721,590 is 530886720.

LCM Formula to Find Lowest Common Multiple of 192,546,721,590

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

192 x 546 x 721 x 590 = 44594484480

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

721 : 1, 7, 103, 721

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,546,721,590, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

546:2x 3x 7x 13

721:7x 103

590:2x 5x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 7 = 84

Therefore, the value for common factors is 84.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 44594484480/(1x84)

LCM = 44594484480/84

LCM = 530886720

Thus, we can understand that the LCM of 192,546,721,590 is 530886720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 192, 546, 721, 590

1. What is the LCM of 192, 546, 721, 590?

Answer: LCM of 192, 546, 721, 590 is 530886720.

2. How to calculate the LCM of 192, 546, 721, 590?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 192, 546, 721, 590.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.